I. Introduction
It is of practical significance to detect, locate, characterize, and image tumors in healthy tissue of the breast. Over the last two decades, intensive investigations have been conducted for early breast cancer detection using microwaves (e.g., [1]–[23]). These studies include confocal microwave imaging [6], [7], [12]–[14], 2-D microwave topographic imaging [8], [9], [11], and 3-D active microwave tomographic imaging [15]–[17]. Microwave imaging has been proposed for breast detection [8], [9], [6], [7] because of its potentially high specificity for breast cancer diagnosis due to the high contrast in electrical properties between normal and malignant human breast tissues. the electrical properties of normal and malignant human breast tissues have been a subject of great interest over the last two decades. It has been reported that a significant contrast in electrical properties at microwave frequencies exists between normal and malignant human breast tissues [3]. This high contrast is due to significantly different sodium concentrations, fluid contents, and electrochemical properties. A recent research on the variability of normal breast tissue properties [21] reveals that the breast can, in fact, be quite heterogeneous, and this may pose a significant challenge for microwave breast imaging, although actual clinical tests in [22] and [23] have demonstrated the significant potential and new advances of microwave breast imaging from previous simulations and phantom studies.